Domino Join Up

Stage: 1 Challenge Level:

Sarah, Aleisha, Samuel and Jesse from
Rutherglen Primary wrote to say:

We had fun doing this, and it was fairly easy the way we understood
it. The hardest part was making sure we had the right twenty one
pieces in the first place, because we used some old mixed sets from
school. We worked out a great system to check we had what we needed
though!

Joining to $6$.
This was really easy, we all had lots of fun doing this we all
liked it.

Joining to $7$.
This was a bit tricky but we all worked as a team and got it done.
We also worked out that the blank ones had to be left out.

Joining to $5$.
This one was easy because we knew that we had to get the sixes out
of the road so it can work.

Joining even.
This was easy because we just had to put two even numbers or two
odd numbers together and it will make an even number.

Joining odd.
This was easy because we got help off the even one a bit. Then we
just kept on working really hard as a team and got it done.

Joining even then odd.
We did this one for a bit of fun and we had lots of fun. We had to
work out what will fit together and what won't.

Well done all of you. Tom from Crawley
Down Village C of E School told us:

Dominoes adding up to $6$ (which also solves the even number
problem):
Leave out: $1/4, 5/6, 2/0, 4/3, 2/5, 5/1$
I just tried different combinations.

Dominoes adding up to $7$ (which also solves the odd number
problem):
Leave out: $0/1, 0/2, 0/3, 0/4, 0/5, 0/6$
I worked out that you couldn't have dominoes with zeros because it
wouldn't add up to $7$.

Dominoes adding up to $5$:
Leave out: $6/0, 6/1, 6/2, 6/3, 6/4, 6/5$
I worked out that you couldn't have dominoes with six because it
would be too much.

Good reasoning, thank you Tom. Alex from
Heathfield sent in some different solutions:

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.